10228713842160 has 240 divisors, whose sum is σ = 37477243410048. Its totient is φ = 2479492646400.

The previous prime is 10228713842111. The next prime is 10228713842189. The reversal of 10228713842160 is 6124831782201.

10228713842160 is a `hidden beast` number, since 10 + 2 + 2 + 87 + 138 + 421 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117513055 + ... + 117600065.

Almost surely, 2^{10228713842160} is an apocalyptic number.

10228713842160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10228713842160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738621705024).

10228713842160 is an abundant number, since it is smaller than the sum of its proper divisors (27248529567888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10228713842160 is a wasteful number, since it uses less digits than its factorization.

10228713842160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101884 (or 101875 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10228713842160 in words is "ten trillion, two hundred twenty-eight billion, seven hundred thirteen million, eight hundred forty-two thousand, one hundred sixty".